Answer:
Degree of the function = 5
y-intercept = (0, 12)
Step-by-step explanation:
Degree of a polynomial function is determined by the degree of the term having highest degree.
In the given function,
f(x) = -(x + 1)²(2x - 3)(x + 2)²
(x + 1)² → highest degree term = x²
(2x - 3) → highest degree term = x
(x + 2)² → highest degree term = x²
When we multiply these terms,
(x + 1)²(2x - 3)(x + 2)² highest degree term of the function will be,
[tex]x^{2} \times x \times x^{2} = x^{5}[/tex]
Therefore, degree of the function = 5
For y-intercept,
f(0) = -(0 + 1)²(0 - 3)(0 + 2)² = 12
Therefore, y-intercept of the function is (0, 12)
